Remarks on Villadsen algebras, II: A generalized construction and the comparison radius function
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908692801126400 |
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| author | Elliott, George A. Niu, Zhuang |
| author_facet | Elliott, George A. Niu, Zhuang |
| contents | The authors' recent classification of Jesper Villadsen's remarkable generalization (based on a self-reproducing seed space) of Glimm's infinite tensor product (UHF) C*-algebras, by means of the Cuntz semigroup (in the case of a fixed, well-behaved, seed space), is extended to the analogous generalization of Bratteli's approximately finite-dimensional (AF) C*-algebras. Some progress is made in the direction of distinguishing between algebras based on different seed spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13695 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Remarks on Villadsen algebras, II: A generalized construction and the comparison radius function Elliott, George A. Niu, Zhuang Operator Algebras The authors' recent classification of Jesper Villadsen's remarkable generalization (based on a self-reproducing seed space) of Glimm's infinite tensor product (UHF) C*-algebras, by means of the Cuntz semigroup (in the case of a fixed, well-behaved, seed space), is extended to the analogous generalization of Bratteli's approximately finite-dimensional (AF) C*-algebras. Some progress is made in the direction of distinguishing between algebras based on different seed spaces. |
| title | Remarks on Villadsen algebras, II: A generalized construction and the comparison radius function |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2510.13695 |